Given numbers are 105,137,217

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 105,137,217 is 445935.

Find LCM of 105,137,217 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

7 x 15 x 137 x 31 = 445935

Therefore, the lowest common multiple of 105,137,217 is 445935.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

105 x 137 x 217 = 3121545

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

105 : 1, 3, 5, 7, 15, 21, 35, 105

137 : 1, 137

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,137,217, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

137:137

217:7x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

7 = 7

Therefore, the value for common factors is 7.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3121545/(1x7)

LCM = 3121545/7

LCM = 445935

Thus, we can understand that the LCM of 105,137,217 is 445935.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 243, 320, 455
• LCM of 849, 905, 574
• LCM of 388, 167, 849
• LCM of 324, 613, 772
• LCM of 303, 989, 128

1. What is the LCM of 105, 137, 217?

Answer: LCM of 105, 137, 217 is 445935.

2. How to calculate the LCM of 105, 137, 217?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 105, 137, 217.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.